Aptitude - Problems on H.C.F and L.C.M - Discussion

Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 13)
13.
Reduce 128352 to its lowest terms.
238368
3
4
5
13
7
13
9
13
Answer: Option
Explanation:
 128352) 238368 ( 1
         128352
         ---------------
         110016 ) 128352 ( 1
                  110016
                 ------------------  
                   18336 ) 110016 ( 6       
                           110016
                           -------
                                x
                           -------
 So, H.C.F. of 128352 and 238368 = 18336.
 
             128352     128352 ÷ 18336    7
 Therefore,  ------  =  -------------- =  --
             238368     238368 ÷ 18336    13                    
Discussion:
59 comments Page 5 of 6.

Shahul said:   1 decade ago
Hi sona,

Why you didn't subtract 110016-18336?

Why you stop'd subtracting the above values?

Pankaj said:   1 decade ago
Please somebody answer why after we have to stop subtracting after.

18336?

Vanaja said:   1 decade ago
@Sona thanks.

Seema said:   1 decade ago
Check the ones digit of numerator & denominator. It must come in the table of answer digit at ones place. It will fewer your option.

Then check numerator is fully divided by numerator & denominator by denominator.

Ammu said:   1 decade ago
We have to stop subtracting when the result becomes negative.

128352-110016 = 18336.

18336-110016 = negative number.

PRASANNA said:   8 years ago
Go with options.

Check whether numerator and denominator both are divisible by values given in option.

Here only 3/4 and 7/13 satisfy the condition.

Now apply logic to get the answer (here denominator (238368) is approx. Double of numerator(128352) Hence 7/12 is answer as denominator (13) is approx. Double of numerator(7).

Shraddha said:   1 decade ago
Find the factors of 128352.

Then find the factors of 238368.

Cancel out the common factors.

It leads to the ratio of uncommon factors, i.e. 7/13, which is the lowest ratio.

Ambica said:   1 decade ago
Why are we subtracting?

Soumen said:   1 decade ago
Simple check option A.

3*1 = 3....128352 not match the last number i.e. 3&2.
3*2 = 6....128352 not match the last number i.e. 3&2.
...
3*4 = 12...128352 now match the last number i.e. 2&2.

Now 4*4 = 16...238368 not match the last number i.e. 6&8.

Check option C.

7*6 = 42....128352 now match the last number i.e. 2&2.

Now 13*6 = 78...238368 now match the last number i.e. 8&8.

Sandeep said:   1 decade ago
Hey, someone check option A.

You have checked---as-3*4 = Match the last number.

But why dint you check 4*2 this also match the last no 238368--match found, but option A is not true.


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